en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

d/(d{x)}(({z}(x,y))({x}^2+{y}^2))

Solution

\frac{d}{d x} ((z (x, y)) (x^{2} + y^{2}))

Solution

z (x, y) (2 x + 0)

Solution steps

\frac{d}{d x} ((z (x, y)) (x^{2} + y^{2}))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= z (x, y) \frac{d}{d x} (x^{2} + y^{2})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= z (x, y) (\frac{d}{d x} (x^{2}) + \frac{d}{d x} (y^{2}))

\frac{d}{d x} (x^{2}) = 2 x

\frac{d}{d x} (y^{2}) = 0

= z (x, y) (2 x + 0)

Popular Examples

expand log_{10}(\sqrt[3]{x/y})expand

expand [y(4x+y)-2(x^{(2)}-y)]*(-2)ln|y|expand

[y (4 x + y) - 2 (x^{(2)} - y)] \cdot (- 2) ln ∣ y ∣

expand ((x^2)/2+3/x)^6 expand

(\frac{x ^{2}}{2} + \frac{3}{x})^{6}

expand (e^x-3)/((e^x-5)(e^x-7)(e^x+1))expand

\frac{e ^{x} - 3}{( e ^{x} - 5 ) ( e ^{x} - 7 ) ( e ^{x} + 1 )}

expand (5(1-x))/((x+1)^3)expand

\frac{5 ( 1 - x )}{( x + 1 ) ^{3}}

Frequently Asked Questions (FAQ)

What is the d/(d{x)}(({z}(x,y))({x}^2+{y}^2)) ?
The d/(d{x)}(({z}(x,y))({x}^2+{y}^2)) is {z}(x,y)(2{x}+0)
What is the first d/(d{x)}(({z}(x,y))({x}^2+{y}^2)) ?
The first d/(d{x)}(({z}(x,y))({x}^2+{y}^2)) is {z}(x,y)(2{x}+0)